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Lyapunov Exponents - Dynamical Systems | Lecture 31

A hallmark of chaos is "sensitive dependence on initial conditions", which roughly states that trajectories that start close together must eventually separate. The classical way to measure if a system has such a sensitive dependence is through the Lyapunov exponent. In this lecture we define the Lypaunov exponent and work through an example on the tent map. In practice this exponent is something that can't be determined analytically but is often left to the computer. Such a computational process is also described in this lecture. This course is taught by Jason Bramburger for Concordia University. More information on the instructor: https://hybrid.concordia.ca/jbrambur/ Follow @jbramburger7 on Twitter for updates.